Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.1 Quadratic Functions in Standard Form - 4.1 Exercises - Skill Practice - Page 241: 39


Option D: The graph moves down the $y$-axis.

Work Step by Step

Assume that the function is in the format $f(x)=(x-h)^{2}+k$ There is no $h$ value in either function, so the only difference between the two functions described in the question is the $k$ values. The $k$ value from the first function is $2$, and the second one is $-3$. The $k$ value of the square function determines if the function is shifted vertically, and if so, whether it goes up or down. A $k$ value of $-3$ means that the function is shifted 5 units down from the function with a $k$ value of $2$, so the correct answer is Option D: The graph moves down the $y$-axis.
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